Non-existence results for stochastic wave equations in one dimension

Foondun, Mohammud and Nualart, Eulalia (2022) Non-existence results for stochastic wave equations in one dimension. Journal of Differential Equations, 318. pp. 557-578. ISSN 0022-0396 (https://doi.org/10.1016/j.jde.2022.02.038)

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Abstract

The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non-existence of global solutions is derived.